KI-Beratung Beta

Produktbild: Mathematical Methods in Physics
Band 26

Mathematical Methods in Physics Distributions, Hilbert Space Operators, and Variational Methods

Fr. 152.00

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

04.10.2002

Verlag

Birkhäuser Boston

Seitenzahl

471

Maße (L/B/H)

23.5/15.5/2.7 cm

Gewicht

901 g

Auflage

2003

Sprache

Englisch

ISBN

978-0-8176-4228-0

Beschreibung

Rezension

"This text is a translated, considerably revised and extended version of the book
Distributionen und Hilbertraumoperatoren: Mathematische Methoden der Physik
.... The book is written in a very nice and understandable form and addresses mainly students with interest in the interaction between physics and mathematics."


—Mathematica Bohemica


". . . [This] English version has been considerably revised and extended in order to improve the usefulness for students of physics and mathematics alike. For instance, proofs are now more detailed. Many added examples illustrate abstract mathematical concepts. Exercises were included to improve the skill of beginners. Some of these exercises hint to physical problems arising either in quantum mechanics or field theory. . . . Notably, there is one chapter at the end, dealing exclusively with physics applications, the density functional theory of atoms and molecules due to Hohenberg, Kohn, and Sham. In my view this is a nice way to illustrate the calculus of variations. . . . the book is self-contained, the only prerequisites being a solid background in analysis and linear algebra."


—Zentralblatt Math


"...many very nice and useful examples and applications are provided."
---Monatshefte für Mathematik

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

04.10.2002

Verlag

Birkhäuser Boston

Seitenzahl

471

Maße (L/B/H)

23.5/15.5/2.7 cm

Gewicht

901 g

Auflage

2003

Sprache

Englisch

ISBN

978-0-8176-4228-0

Herstelleradresse

Birkhäuser Boston
675 Massachussetts Avenue
02139 Cambridge, MA
US
Email: orders@birkhauser.com
Url: www.birkhauser.com
Telephone: +1 617 8762333
Fax: +1 201 3484033

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)

  • Produktbild: Mathematical Methods in Physics
  • I Distributions.- 1 Introduction.- 2 Spaces of Test Functions.- 3 Schwartz Distributions.- 4 Calculus for Distributions.- 5 Distributions as Derivatives of Functions.- 6 Tensor Products.- 7 Convolution Products.- 8 Applications of Convolution.- 9 Holomorphic Functions.- 10 Fourier Transformation.- 11 Distributions and Analytic Functions.- 12 Other Spaces of Generalized Functions.- II Hilbert Space Operators.- 13 Hiilbert Spaces: A Brief Historical Introduction.- 14 Inner Product Spaces and Hilbert Spaces.- 15 Geometry of Hilbert Spaces.- 16 Separable Hilbert Spaces.- 17 Direct Sums and Tensor Products.- 18 Topological Aspects.- 19 Linear Operators.- 20 Quadratic Forms.- 21 Bounded Linear Operators.- 22 Special Classes of Bounded Operators.- 23 Self-adjoint Hamilton Operators.- 24 Elements of Spectral Theory.- 25 Spectral Theory of Compact Operators.- 26 The Spectral Theorem.- 27 Some Applications of the Spectral Representation.- III Variational Methods.- 28 Introduction.- 29 Direct Methods in the Calculus of Variations.- 30 Differential Calculus on Banach Spaces and Extrema of Functions.- 31 Constrained Minimization Problems (Method of Lagrange Multipliers).- 32 Boundary and Eigenvalue Problems.- 33 Density Functional Theory of Atoms and Molecules.- IV Appendix.- A Completion of Metric Spaces.- B Metrizable Locally Convex Topological Vector Spaces.- C The Theorem of Baire.- C.1 The uniform boundedness principle.- C.2 The open mapping theorem.- D Bilinear Functionals.- References.